User:Michael Wallner

At the moment I am a PostDoc at the Institute of Discrete Mathematics and Geometry at the TU Wien.

My interests lie in all areas of analytic and enumerative combinatorics, and in particular in interactions with probability theory, number theory, and interdisciplinary applications in computer science and computational biology. I have studied lattice paths in one and higher dimensions, tree-like structures like directed acyclic graphs, deterministic finite automata, and phylogenetic trees, as well as Young tableaux and permutation patterns. The methods I am specialized to include

• combinatorial methods, like generating functions, the symbolic method, and bijections
• analytic methods, like singularity analysis, saddle point analysis, and the kernel methods
• probabilistic methods, like the method of moments and martingales

Homepage: https://dmg.tuwien.ac.at/mwallner/